Dataset statistics
| Number of variables | 9 |
|---|---|
| Number of observations | 13703 |
| Missing cells | 0 |
| Missing cells (%) | 0.0% |
| Duplicate rows | 0 |
| Duplicate rows (%) | 0.0% |
| Total size in memory | 963.6 KiB |
| Average record size in memory | 72.0 B |
Variable types
| NUM | 9 |
|---|
mean_closeness is highly correlated with average_clustering and 1 other fields | High correlation |
average_clustering is highly correlated with mean_closeness and 1 other fields | High correlation |
assortativity is highly correlated with average_clustering and 1 other fields | High correlation |
rg has unique values | Unique |
shape has unique values | Unique |
Reproduction
| Analysis started | 2020-11-27 01:59:08.132770 |
|---|---|
| Analysis finished | 2020-11-27 01:59:22.628910 |
| Duration | 14.5 seconds |
| Software version | pandas-profiling v2.9.0 |
| Download configuration | config.yaml |
| Distinct | 13703 |
|---|---|
| Distinct (%) | 100.0% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.4053879859 |
|---|---|
| Minimum | 0.2647429215 |
| Maximum | 0.553959391 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 107.1 KiB |
Quantile statistics
| Minimum | 0.2647429215 |
|---|---|
| 5-th percentile | 0.316142869 |
| Q1 | 0.3761514338 |
| median | 0.4080868467 |
| Q3 | 0.4348126528 |
| 95-th percentile | 0.4804880947 |
| Maximum | 0.553959391 |
| Range | 0.2892164694 |
| Interquartile range (IQR) | 0.058661219 |
Descriptive statistics
| Standard deviation | 0.04856659662 |
|---|---|
| Coefficient of variation (CV) | 0.1198027527 |
| Kurtosis | 0.08702454773 |
| Mean | 0.4053879859 |
| Median Absolute Deviation (MAD) | 0.03060915531 |
| Skewness | -0.02886839327 |
| Sum | 5555.031571 |
| Variance | 0.002358714307 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 0.4166188819 | 1 | < 0.1% | |
| 0.319555027 | 1 | < 0.1% | |
| 0.4279362097 | 1 | < 0.1% | |
| 0.3775160056 | 1 | < 0.1% | |
| 0.4236557521 | 1 | < 0.1% | |
| 0.3934568128 | 1 | < 0.1% | |
| 0.3856058298 | 1 | < 0.1% | |
| 0.3720310206 | 1 | < 0.1% | |
| 0.4016123154 | 1 | < 0.1% | |
| 0.3601770074 | 1 | < 0.1% | |
| Other values (13693) | 13693 | 99.9% |
| Value | Count | Frequency (%) | |
| 0.2647429215 | 1 | < 0.1% | |
| 0.2663038185 | 1 | < 0.1% | |
| 0.2668979912 | 1 | < 0.1% | |
| 0.2674296361 | 1 | < 0.1% | |
| 0.2674408081 | 1 | < 0.1% |
| Value | Count | Frequency (%) | |
| 0.553959391 | 1 | < 0.1% | |
| 0.5534800489 | 1 | < 0.1% | |
| 0.5528707909 | 1 | < 0.1% | |
| 0.5522530673 | 1 | < 0.1% | |
| 0.55201942 | 1 | < 0.1% |
mean_displacement
Real number (ℝ≥0)
| Distinct | 13633 |
|---|---|
| Distinct (%) | 99.5% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 14.36289176 |
|---|---|
| Minimum | 0 |
| Maximum | 142.2368066 |
| Zeros | 71 |
| Zeros (%) | 0.5% |
| Memory size | 107.1 KiB |
Quantile statistics
| Minimum | 0 |
|---|---|
| 5-th percentile | 1.203558696 |
| Q1 | 6.592146559 |
| median | 10.31254505 |
| Q3 | 20.77357781 |
| 95-th percentile | 38.04664558 |
| Maximum | 142.2368066 |
| Range | 142.2368066 |
| Interquartile range (IQR) | 14.18143125 |
Descriptive statistics
| Standard deviation | 11.68200973 |
|---|---|
| Coefficient of variation (CV) | 0.8133466382 |
| Kurtosis | 4.302220454 |
| Mean | 14.36289176 |
| Median Absolute Deviation (MAD) | 4.869084109 |
| Skewness | 1.477814807 |
| Sum | 196814.7058 |
| Variance | 136.4693512 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 0 | 71 | 0.5% | |
| 15.79393212 | 1 | < 0.1% | |
| 25.30294971 | 1 | < 0.1% | |
| 8.859828664 | 1 | < 0.1% | |
| 10.91719244 | 1 | < 0.1% | |
| 29.30264892 | 1 | < 0.1% | |
| 8.425796832 | 1 | < 0.1% | |
| 10.16118308 | 1 | < 0.1% | |
| 6.399548839 | 1 | < 0.1% | |
| 8.641484774 | 1 | < 0.1% | |
| Other values (13623) | 13623 | 99.4% |
| Value | Count | Frequency (%) | |
| 0 | 71 | 0.5% | |
| 1.016666045 | 1 | < 0.1% | |
| 1.023916176 | 1 | < 0.1% | |
| 1.034306103 | 1 | < 0.1% | |
| 1.035238929 | 1 | < 0.1% |
| Value | Count | Frequency (%) | |
| 142.2368066 | 1 | < 0.1% | |
| 119.4764542 | 1 | < 0.1% | |
| 117.6691426 | 1 | < 0.1% | |
| 115.4518361 | 1 | < 0.1% | |
| 105.9717172 | 1 | < 0.1% |
| Distinct | 13703 |
|---|---|
| Distinct (%) | 100.0% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.004182291781 |
|---|---|
| Minimum | -0.06826915628 |
| Maximum | 0.1877051027 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 107.1 KiB |
Quantile statistics
| Minimum | -0.06826915628 |
|---|---|
| 5-th percentile | -0.00569033166 |
| Q1 | -0.001052393195 |
| median | 0.0004036715331 |
| Q3 | 0.003431179983 |
| 95-th percentile | 0.0319963595 |
| Maximum | 0.1877051027 |
| Range | 0.2559742589 |
| Interquartile range (IQR) | 0.004483573177 |
Descriptive statistics
| Standard deviation | 0.01661281353 |
|---|---|
| Coefficient of variation (CV) | 3.972179465 |
| Kurtosis | 30.47326611 |
| Mean | 0.004182291781 |
| Median Absolute Deviation (MAD) | 0.002056363178 |
| Skewness | 4.472019201 |
| Sum | 57.30994428 |
| Variance | 0.0002759855735 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| -0.0003409817565 | 1 | < 0.1% | |
| -0.002557742447 | 1 | < 0.1% | |
| -0.001713315084 | 1 | < 0.1% | |
| -0.02713212997 | 1 | < 0.1% | |
| 0.009597846401 | 1 | < 0.1% | |
| 2.308752524e-05 | 1 | < 0.1% | |
| 0.0002158479906 | 1 | < 0.1% | |
| 0.009361954138 | 1 | < 0.1% | |
| -0.0002341870525 | 1 | < 0.1% | |
| 0.002582613462 | 1 | < 0.1% | |
| Other values (13693) | 13693 | 99.9% |
| Value | Count | Frequency (%) | |
| -0.06826915628 | 1 | < 0.1% | |
| -0.06363906968 | 1 | < 0.1% | |
| -0.05977766999 | 1 | < 0.1% | |
| -0.05755228497 | 1 | < 0.1% | |
| -0.05519934157 | 1 | < 0.1% |
| Value | Count | Frequency (%) | |
| 0.1877051027 | 1 | < 0.1% | |
| 0.1786923401 | 1 | < 0.1% | |
| 0.1755746789 | 1 | < 0.1% | |
| 0.1755451367 | 1 | < 0.1% | |
| 0.1737699482 | 1 | < 0.1% |
density
Real number (ℝ≥0)
| Distinct | 9829 |
|---|---|
| Distinct (%) | 71.7% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.001444083549 |
|---|---|
| Minimum | 0.001331047295 |
| Maximum | 0.001676962743 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 107.1 KiB |
Quantile statistics
| Minimum | 0.001331047295 |
|---|---|
| 5-th percentile | 0.001361556332 |
| Q1 | 0.001403173627 |
| median | 0.001445711122 |
| Q3 | 0.001482920248 |
| 95-th percentile | 0.001533014509 |
| Maximum | 0.001676962743 |
| Range | 0.0003459154478 |
| Interquartile range (IQR) | 7.974662057e-05 |
Descriptive statistics
| Standard deviation | 5.35448747e-05 |
|---|---|
| Coefficient of variation (CV) | 0.03707879279 |
| Kurtosis | -0.5430892429 |
| Mean | 0.001444083549 |
| Median Absolute Deviation (MAD) | 3.944956711e-05 |
| Skewness | 0.1890523753 |
| Sum | 19.78827688 |
| Variance | 2.867053606e-09 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 0.001359397863 | 9 | 0.1% | |
| 0.001386100755 | 8 | 0.1% | |
| 0.001377112707 | 8 | 0.1% | |
| 0.001416759773 | 7 | 0.1% | |
| 0.001375511413 | 7 | 0.1% | |
| 0.001365518738 | 7 | 0.1% | |
| 0.001359883659 | 7 | 0.1% | |
| 0.001371642042 | 7 | 0.1% | |
| 0.001427524456 | 6 | < 0.1% | |
| 0.001385919823 | 6 | < 0.1% | |
| Other values (9819) | 13631 | 99.5% |
| Value | Count | Frequency (%) | |
| 0.001331047295 | 1 | < 0.1% | |
| 0.001331475832 | 1 | < 0.1% | |
| 0.001333950507 | 1 | < 0.1% | |
| 0.001334217447 | 1 | < 0.1% | |
| 0.001334590359 | 1 | < 0.1% |
| Value | Count | Frequency (%) | |
| 0.001676962743 | 1 | < 0.1% | |
| 0.001633652961 | 1 | < 0.1% | |
| 0.001629685157 | 1 | < 0.1% | |
| 0.001628587822 | 1 | < 0.1% | |
| 0.001627807059 | 1 | < 0.1% |
clique_number
Real number (ℝ≥0)
| Distinct | 7 |
|---|---|
| Distinct (%) | 0.1% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 4.13084726 |
|---|---|
| Minimum | 2 |
| Maximum | 8 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 107.1 KiB |
Quantile statistics
| Minimum | 2 |
|---|---|
| 5-th percentile | 3 |
| Q1 | 3 |
| median | 4 |
| Q3 | 4 |
| 95-th percentile | 7 |
| Maximum | 8 |
| Range | 6 |
| Interquartile range (IQR) | 1 |
Descriptive statistics
| Standard deviation | 1.141959601 |
|---|---|
| Coefficient of variation (CV) | 0.2764468231 |
| Kurtosis | 0.6922155377 |
| Mean | 4.13084726 |
| Median Absolute Deviation (MAD) | 1 |
| Skewness | 1.135683239 |
| Sum | 56605 |
| Variance | 1.304071731 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=7)
| Value | Count | Frequency (%) | |
| 4 | 6254 | 45.6% | |
| 3 | 4239 | 30.9% | |
| 6 | 1300 | 9.5% | |
| 5 | 1095 | 8.0% | |
| 7 | 725 | 5.3% | |
| 8 | 57 | 0.4% | |
| 2 | 33 | 0.2% |
| Value | Count | Frequency (%) | |
| 2 | 33 | 0.2% | |
| 3 | 4239 | 30.9% | |
| 4 | 6254 | 45.6% | |
| 5 | 1095 | 8.0% | |
| 6 | 1300 | 9.5% |
| Value | Count | Frequency (%) | |
| 8 | 57 | 0.4% | |
| 7 | 725 | 5.3% | |
| 6 | 1300 | 9.5% | |
| 5 | 1095 | 8.0% | |
| 4 | 6254 | 45.6% |
| Distinct | 12627 |
|---|---|
| Distinct (%) | 92.1% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.153942953 |
|---|---|
| Minimum | 0 |
| Maximum | 0.6084742648 |
| Zeros | 33 |
| Zeros (%) | 0.2% |
| Memory size | 107.1 KiB |
Quantile statistics
| Minimum | 0 |
|---|---|
| 5-th percentile | 0.008762151113 |
| Q1 | 0.0417315056 |
| median | 0.06461505922 |
| Q3 | 0.1513957745 |
| 95-th percentile | 0.6000244783 |
| Maximum | 0.6084742648 |
| Range | 0.6084742648 |
| Interquartile range (IQR) | 0.1096642689 |
Descriptive statistics
| Standard deviation | 0.190103778 |
|---|---|
| Coefficient of variation (CV) | 1.234897566 |
| Kurtosis | 1.32432533 |
| Mean | 0.153942953 |
| Median Absolute Deviation (MAD) | 0.05288079484 |
| Skewness | 1.693284119 |
| Sum | 2109.480285 |
| Variance | 0.03613944639 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 0 | 33 | 0.2% | |
| 0.04424778761 | 10 | 0.1% | |
| 0.04879074658 | 10 | 0.1% | |
| 0.04620253165 | 9 | 0.1% | |
| 0.0443318556 | 9 | 0.1% | |
| 0.04427577483 | 8 | 0.1% | |
| 0.04885238998 | 7 | 0.1% | |
| 0.0443599493 | 7 | 0.1% | |
| 0.0483396385 | 7 | 0.1% | |
| 0.04430379747 | 7 | 0.1% | |
| Other values (12617) | 13596 | 99.2% |
| Value | Count | Frequency (%) | |
| 0 | 33 | 0.2% | |
| 0.001049538203 | 1 | < 0.1% | |
| 0.001050199538 | 1 | < 0.1% | |
| 0.001056859015 | 1 | < 0.1% | |
| 0.001058873359 | 1 | < 0.1% |
| Value | Count | Frequency (%) | |
| 0.6084742648 | 1 | < 0.1% | |
| 0.6081231788 | 1 | < 0.1% | |
| 0.6079907524 | 1 | < 0.1% | |
| 0.6075260817 | 1 | < 0.1% | |
| 0.6074839567 | 1 | < 0.1% |
| Distinct | 13699 |
|---|---|
| Distinct (%) | > 99.9% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.0005908148564 |
|---|---|
| Minimum | 6.518191387e-05 |
| Maximum | 0.003373289354 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 107.1 KiB |
Quantile statistics
| Minimum | 6.518191387e-05 |
|---|---|
| 5-th percentile | 0.0001134520943 |
| Q1 | 0.00016472718 |
| median | 0.0003500128228 |
| Q3 | 0.00062236653 |
| 95-th percentile | 0.002000550186 |
| Maximum | 0.003373289354 |
| Range | 0.00330810744 |
| Interquartile range (IQR) | 0.0004576393501 |
Descriptive statistics
| Standard deviation | 0.0006084340776 |
|---|---|
| Coefficient of variation (CV) | 1.029821899 |
| Kurtosis | 1.650645658 |
| Mean | 0.0005908148564 |
| Median Absolute Deviation (MAD) | 0.0002214302598 |
| Skewness | 1.649788789 |
| Sum | 8.095935978 |
| Variance | 3.701920268e-07 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 8.821303762e-05 | 2 | < 0.1% | |
| 0.0001025763384 | 2 | < 0.1% | |
| 0.0001064349032 | 2 | < 0.1% | |
| 0.0001050572457 | 2 | < 0.1% | |
| 0.00188611883 | 1 | < 0.1% | |
| 0.0005321168535 | 1 | < 0.1% | |
| 0.0005422710336 | 1 | < 0.1% | |
| 0.002055568074 | 1 | < 0.1% | |
| 0.0001030821339 | 1 | < 0.1% | |
| 0.0005829913736 | 1 | < 0.1% | |
| Other values (13689) | 13689 | 99.9% |
| Value | Count | Frequency (%) | |
| 6.518191387e-05 | 1 | < 0.1% | |
| 6.662907439e-05 | 1 | < 0.1% | |
| 6.705958217e-05 | 1 | < 0.1% | |
| 6.865560023e-05 | 1 | < 0.1% | |
| 6.974804513e-05 | 1 | < 0.1% |
| Value | Count | Frequency (%) | |
| 0.003373289354 | 1 | < 0.1% | |
| 0.003258571217 | 1 | < 0.1% | |
| 0.003248603873 | 1 | < 0.1% | |
| 0.003212554094 | 1 | < 0.1% | |
| 0.00317817879 | 1 | < 0.1% |
mean_betweenness
Real number (ℝ≥0)
| Distinct | 11988 |
|---|---|
| Distinct (%) | 87.5% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 4.35480376e-05 |
|---|---|
| Minimum | 0 |
| Maximum | 0.00367050182 |
| Zeros | 1 |
| Zeros (%) | < 0.1% |
| Memory size | 107.1 KiB |
Quantile statistics
| Minimum | 0 |
|---|---|
| 5-th percentile | 1.326133315e-08 |
| Q1 | 3.875270523e-08 |
| median | 3.456921373e-07 |
| Q3 | 7.214904809e-07 |
| 95-th percentile | 0.0002834931719 |
| Maximum | 0.00367050182 |
| Range | 0.00367050182 |
| Interquartile range (IQR) | 6.827377757e-07 |
Descriptive statistics
| Standard deviation | 0.0001569834597 |
|---|---|
| Coefficient of variation (CV) | 3.604834302 |
| Kurtosis | 129.7701919 |
| Mean | 4.35480376e-05 |
| Median Absolute Deviation (MAD) | 3.120396498e-07 |
| Skewness | 9.121425338 |
| Sum | 0.5967387593 |
| Variance | 2.464380663e-08 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 1.366464407e-08 | 10 | 0.1% | |
| 2.621746929e-08 | 8 | 0.1% | |
| 1.518293785e-08 | 7 | 0.1% | |
| 1.521178447e-08 | 7 | 0.1% | |
| 8.036414925e-09 | 7 | 0.1% | |
| 1.014118965e-08 | 7 | 0.1% | |
| 2.05458807e-08 | 6 | < 0.1% | |
| 1.313360891e-08 | 6 | < 0.1% | |
| 1.946777186e-08 | 6 | < 0.1% | |
| 3.09894319e-08 | 6 | < 0.1% | |
| Other values (11978) | 13633 | 99.5% |
| Value | Count | Frequency (%) | |
| 0 | 1 | < 0.1% | |
| 5.003793606e-10 | 1 | < 0.1% | |
| 5.013264509e-10 | 2 | < 0.1% | |
| 5.109301499e-10 | 1 | < 0.1% | |
| 1.004551866e-09 | 1 | < 0.1% |
| Value | Count | Frequency (%) | |
| 0.00367050182 | 1 | < 0.1% | |
| 0.003219041872 | 1 | < 0.1% | |
| 0.003209295734 | 1 | < 0.1% | |
| 0.002818780816 | 1 | < 0.1% | |
| 0.002789564268 | 1 | < 0.1% |
| Distinct | 13701 |
|---|---|
| Distinct (%) | > 99.9% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.8308015712 |
|---|---|
| Minimum | 0.4461152309 |
| Maximum | 1 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 107.1 KiB |
Quantile statistics
| Minimum | 0.4461152309 |
|---|---|
| 5-th percentile | 0.5068282155 |
| Q1 | 0.8078689932 |
| median | 0.8636668274 |
| Q3 | 0.9396527637 |
| 95-th percentile | 0.9716369327 |
| Maximum | 1 |
| Range | 0.5538847691 |
| Interquartile range (IQR) | 0.1317837705 |
Descriptive statistics
| Standard deviation | 0.1441273849 |
|---|---|
| Coefficient of variation (CV) | 0.1734799137 |
| Kurtosis | 0.6438379083 |
| Mean | 0.8308015712 |
| Median Absolute Deviation (MAD) | 0.06513195912 |
| Skewness | -1.323601398 |
| Sum | 11384.47393 |
| Variance | 0.02077270307 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 0.9785965306 | 2 | < 0.1% | |
| 0.9872670689 | 2 | < 0.1% | |
| 0.7951487579 | 1 | < 0.1% | |
| 0.7860096934 | 1 | < 0.1% | |
| 0.8588633348 | 1 | < 0.1% | |
| 0.8876308903 | 1 | < 0.1% | |
| 0.8145419118 | 1 | < 0.1% | |
| 0.8012380293 | 1 | < 0.1% | |
| 0.9271406418 | 1 | < 0.1% | |
| 0.9448878065 | 1 | < 0.1% | |
| Other values (13691) | 13691 | 99.9% |
| Value | Count | Frequency (%) | |
| 0.4461152309 | 1 | < 0.1% | |
| 0.4540455353 | 1 | < 0.1% | |
| 0.4553403686 | 1 | < 0.1% | |
| 0.4558974838 | 1 | < 0.1% | |
| 0.4588284583 | 1 | < 0.1% |
| Value | Count | Frequency (%) | |
| 1 | 1 | < 0.1% | |
| 0.9951357386 | 1 | < 0.1% | |
| 0.994873844 | 1 | < 0.1% | |
| 0.9936089067 | 1 | < 0.1% | |
| 0.9930572686 | 1 | < 0.1% |
Pearson's r
The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.
Spearman's ρ
The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.
Kendall's τ
Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.
Phik (φk)
Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.First rows
| rg | mean_displacement | shape | density | clique_number | average_clustering | mean_closeness | mean_betweenness | assortativity | |
|---|---|---|---|---|---|---|---|---|---|
| 0 | 0.474618 | 0.000000 | 0.000306 | 0.001343 | 3 | 0.005668 | 0.000083 | 5.003794e-10 | 0.994874 |
| 1 | 0.464732 | 20.724373 | -0.000009 | 0.001347 | 2 | 0.000000 | 0.000082 | 5.080235e-09 | 0.961830 |
| 2 | 0.461643 | 20.079818 | 0.000013 | 0.001350 | 2 | 0.000000 | 0.000092 | 8.036415e-09 | 0.938803 |
| 3 | 0.458490 | 22.115586 | 0.000187 | 0.001349 | 2 | 0.000000 | 0.000088 | 3.019367e-09 | 0.967801 |
| 4 | 0.456447 | 21.998844 | 0.000182 | 0.001351 | 3 | 0.004840 | 0.000090 | 4.537639e-09 | 0.964951 |
| 5 | 0.452112 | 22.708864 | 0.000328 | 0.001366 | 3 | 0.007581 | 0.000106 | 1.818500e-08 | 0.962455 |
| 6 | 0.450899 | 15.669330 | 0.000252 | 0.001349 | 3 | 0.003371 | 0.000087 | 9.615861e-09 | 0.963636 |
| 7 | 0.444741 | 24.677752 | 0.000165 | 0.001370 | 3 | 0.001473 | 0.000110 | 1.008364e-08 | 0.941677 |
| 8 | 0.437936 | 25.683807 | -0.000002 | 0.001367 | 3 | 0.005271 | 0.000104 | 5.577654e-09 | 0.952807 |
| 9 | 0.436538 | 19.690475 | 0.000124 | 0.001383 | 4 | 0.006293 | 0.000128 | 1.098756e-08 | 0.952529 |
Last rows
| rg | mean_displacement | shape | density | clique_number | average_clustering | mean_closeness | mean_betweenness | assortativity | |
|---|---|---|---|---|---|---|---|---|---|
| 13693 | 0.419452 | 1.066486 | -0.001544 | 0.001425 | 6 | 0.603132 | 0.001725 | 0.000158 | 0.508937 |
| 13694 | 0.419593 | 1.058365 | -0.001591 | 0.001427 | 7 | 0.601294 | 0.001761 | 0.000164 | 0.512684 |
| 13695 | 0.419346 | 1.048077 | -0.001521 | 0.001423 | 6 | 0.601037 | 0.001724 | 0.000158 | 0.505704 |
| 13696 | 0.419695 | 1.081644 | -0.001482 | 0.001427 | 6 | 0.600851 | 0.001757 | 0.000181 | 0.521546 |
| 13697 | 0.419467 | 1.040956 | -0.001504 | 0.001426 | 6 | 0.600861 | 0.001762 | 0.000164 | 0.512302 |
| 13698 | 0.419562 | 1.111165 | -0.001583 | 0.001423 | 6 | 0.601393 | 0.001656 | 0.000129 | 0.497360 |
| 13699 | 0.419378 | 1.070154 | -0.001506 | 0.001425 | 6 | 0.601044 | 0.001658 | 0.000130 | 0.512344 |
| 13700 | 0.419409 | 1.048686 | -0.001516 | 0.001429 | 6 | 0.601688 | 0.001671 | 0.000124 | 0.502967 |
| 13701 | 0.419777 | 1.034306 | -0.001443 | 0.001425 | 6 | 0.599784 | 0.001668 | 0.000124 | 0.501561 |
| 13702 | 0.419195 | 1.079562 | -0.001524 | 0.001426 | 6 | 0.602202 | 0.001727 | 0.000158 | 0.505160 |